The original definition in [1]} holds for \(\rho = 1\) . A tunable approximate fairness is preferable because otherwise it is just an ideal statement of the world and it authorises tradeoffs with accuracy [2]}, We let \(\textsc {fnr}(\hat{Y}) = p[\hat{Y} = 0 | Y=1]\)  denote the False Negative Rate of prediction \(\hat{Y}\)  [3]}.
